Question

Factorize: 4 x2 – 12x + 9 – 49 y2

Answer 1

$\huge\purple{\mathbb{Hola\:Mate♡}}$

•Factorise :- 4x²–12x+9–49y²

So we will solve it from an identity :-

• (a–b)² = a²–2ab+b²

so,,,,

=> (2x)²–2×2x×3 +(3)² – (7y)²

=> (2x–3)² – (7y)²

Here, Again a identity is forming which is

• a²–b² = (a+b) (a–b)

so....

=> (2x-3)²– (7y)²

=> (2x-3+7) (2x-3-7)

=> (2x+4) (2x-10) Ans.

After factorising the final answer is

(2x+4) (2x-10)

Hope it would help you :)